Abstract
Stability criteria of boundary equilibria for dynamical systems in the three critical cases, (n, k)=(3, 0), (2, 1), and (1, 1), are obtained.
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Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 572–578, April, 1998.
The author wishes to thank V. I. Yudovich for useful discussions.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01791 and by the International Science Foundation under grant NRQ000.
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Kurakin, L.G. Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry. Math Notes 63, 503–508 (1998). https://doi.org/10.1007/BF02311253
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DOI: https://doi.org/10.1007/BF02311253